Search Results - "Baleanu, Dumitru"

A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions by Baleanu, Dumitru, Etemad, Sina, Rezapour, Shahram

“…We provide an extension for the second-order differential equation of a thermostat model to the fractional hybrid equation and inclusion versions. We consider…”
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A fractional differential equation model for the COVID-19 transmission by using the Caputo–Fabrizio derivative by Baleanu, Dumitru, Mohammadi, Hakimeh, Rezapour, Shahram

“…We present a fractional-order model for the COVID-19 transmission with Caputo–Fabrizio derivative. Using the homotopy analysis transform method (HATM), which…”
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Fractional calculus in the sky by Baleanu, Dumitru, Agarwal, Ravi P.

“…Fractional calculus was born in 1695 on September 30 due to a very deep question raised in a letter of L’Hospital to Leibniz. The prophetical answer of Leibniz…”
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On Fractional Operators and Their Classifications by Baleanu, Dumitru, Fernandez, Arran

“…Fractional calculus dates its inception to a correspondence between Leibniz and L’Hopital in 1695, when Leibniz described “paradoxes” and predicted that “one…”
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Analysis of the model of HIV-1 infection of CD4+ T-cell with a new approach of fractional derivative by Baleanu, Dumitru, Mohammadi, Hakimeh, Rezapour, Shahram

“…By using the fractional Caputo–Fabrizio derivative, we investigate a new version for the mathematical model of HIV. In this way, we review the existence and…”
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Analyzing transient response of the parallel RCL circuit by using the Caputo–Fabrizio fractional derivative by Alizadeh, Shahram, Baleanu, Dumitru, Rezapour, Shahram

“…In this paper, the transient response of the parallel RCL circuit with Caputo–Fabrizio derivative is solved by Laplace transforms. Also, the graphs of the…”
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A new collection of real world applications of fractional calculus in science and engineering by Sun, HongGuang, Zhang, Yong, Baleanu, Dumitru, Chen, Wen, Chen, YangQuan

“…•A review of fractional calculus applications to the real world problems from science and engineering fields.•The real world applications of fractional…”
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A New Iterative Method for the Numerical Solution of High-Order Non-linear Fractional Boundary Value Problems by Jajarmi, Amin, Baleanu, Dumitru

“…The boundary value problems (BVPs) have attracted the attention of many scientists from both practical and theoretical points of view, for these problems have…”
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Caputo and related fractional derivatives in singular systems by Dassios, Ioannis K., Baleanu, Dumitru I.

“…By using the Caputo (C) fractional derivative and two recently defined alternative versions of this derivative, the Caputo–Fabrizio (CF) and the…”
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A mathematical theoretical study of a particular system of Caputo–Fabrizio fractional differential equations for the Rubella disease model by Baleanu, Dumitru, Mohammadi, Hakimeh, Rezapour, Shahram

“…In this paper, we study the rubella disease model with the Caputo–Fabrizio fractional derivative. The mathematical solution of the liver model is presented by…”
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Suboptimal control of fractional-order dynamic systems with delay argument by Jajarmi, Amin, Baleanu, Dumitru

“…In this paper, an efficient linear programming formulation is proposed for a class of fractional-order optimal control problems with delay argument. By means…”
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Applications of two novel techniques in finding optical soliton solutions of modified nonlinear Schrödinger equations by Ghanbari, Behzad, Baleanu, Dumitru

“…Finding optical soliton solutions to nonlinear partial differential equations has become a popular topic in recent decades. The primary goal of this study is…”
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A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system by Baleanu, Dumitru, Zibaei, Sadegh, Namjoo, Mehran, Jajarmi, Amin

“…The aim of this paper is to introduce and analyze a novel fractional chaotic system including quadratic and cubic nonlinearities. We take into account the…”
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Abundant optical solitons to the (2+1)-dimensional Kundu-Mukherjee-Naskar equation in fiber communication systems by Ghanbari, Behzad, Baleanu, Dumitru

“…The Kundu-Mukherjee-Naskar equation holds significant relevance as a nonlinear model for investigating intricate wave phenomena in fluid and optical systems…”
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On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control by Baleanu, Dumitru, Sajjadi, Samaneh Sadat, Jajarmi, Amin, Defterli, Özlem

“…In this paper, we aim to analyze the complicated dynamical motion of a quarter-car suspension system with a sinusoidal road excitation force. First, we…”
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On a Fractional Operator Combining Proportional and Classical Differintegrals by Baleanu, Dumitru, Fernandez, Arran, Akgül, Ali

“…The Caputo fractional derivative has been one of the most useful operators for modelling non-local behaviours by fractional differential equations. It is…”
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New Solitary Wave Solutions for Variants of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony Equations by Rezazadeh, Hadi, Inc, Mustafa, Baleanu, Dumitru

“…We solve distinct forms of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony [(3+1)-Dimensional WBBM] equations by employing the method of Sardar-subequation. When…”
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New Optical Solutions of the Fractional Gerdjikov-Ivanov Equation With Conformable Derivative by Ghanbari, Behzad, Baleanu, Dumitru

“…Finding exact analytic solutions to the partial equations is one of the most challenging problems in mathematical physics. Generally speaking, the exact…”
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On fractional integro-differential inclusions via the extended fractional Caputo–Fabrizio derivation by Baleanu, Dumitru, Rezapour, Shahram, Saberpour, Zohreh

“…We first show that four fractional integro-differential inclusions have solutions. Also, we show that dimension of the set of solutions for the second…”
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New properties of conformable derivative by Atangana, Abdon, Baleanu, Dumitru, Alsaedi, Ahmed

“…Recently, the conformable derivative and its properties have been introduced. In this work we have investigated in more detail some new properties of this…”
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